{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conditional Mixture Models:\n",
    "## Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "from numpy.linalg import inv\n",
    "from numpy.random import randn, rand, seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider $K$ linear regression models in the real line ($f_k: \\mathbb{R}^M\\to\\mathbb{R}$), each governed by its own weight vector ${\\bf w}_k$ and sharing the same precision parameter $\\beta$. To make a **mixture of linear regressions**, we consider a set of weighting coefficients $\\{\\pi_k\\}_k$ and a mixture distribution given by\n",
    "\n",
    "$$\n",
    "    p({\\bf t}\\vert \\boldsymbol\\theta,\\boldsymbol\\phi) = \\sum_{k=1}^K \\pi_k \\mathcal{N}(t_n\\vert{\\bf w}_k^T\\boldsymbol\\phi, \\beta^{-1})\n",
    "$$\n",
    "\n",
    "Where $\\boldsymbol\\theta=\\big\\{\\{{\\bf w}_k\\}_k, \\{\\pi_k\\}_k, \\beta\\big\\}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to find the values of $\\boldsymbol\\theta$, we make use of th EM algorithm by introducing latent variables ${\\bf Z}=\\{{\\bf z}_n\\}_n$. The EM algorithm then turns in finding the coefficients\n",
    "\n",
    "$$\n",
    "\\gamma_{nk} = \\frac{\\pi_k\\mathcal{N}(t_n\\vert{\\bf w}_k^T\\boldsymbol\\phi_n, \\beta^{-1})}{\\sum_j\\pi_j\\mathcal{N}(t_n\\vert{\\bf w}_j^T\\boldsymbol\\phi_n, \\beta^{-1})}\n",
    "$$\n",
    "\n",
    "for the **E-step**, and maximizing\n",
    "\n",
    "$$\n",
    "Q(\\boldsymbol\\theta, \\boldsymbol\\theta^{\\text{old}}) = \\sum_{n=1}^N\\sum_{k=1}^K \\gamma_{nk}\\big[\\log\\pi_k + \\log\\mathcal{N}(t_n\\vert{\\bf w}_k^T\\boldsymbol\\phi, \\beta^{-1})\\big]\n",
    "$$\n",
    "\n",
    "w.r.t. each component of $\\boldsymbol\\theta$ for the **M-step**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The M-step results in the updating equations:\n",
    "\n",
    "$$\n",
    "\\pi_k^\\text{new} = \\frac{1}{N}\\sum_{n=1}^N\\gamma_{nk}\n",
    "$$\n",
    "\n",
    "$$\n",
    "{\\bf w}_k^\\text{new} = \\left(\\boldsymbol\\Phi^T R_k\\boldsymbol\\Phi\\right)^{-1}\\boldsymbol\\Phi R_k {\\bf t}\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\frac{1}{\\beta^\\text{new}} = \\frac{1}{N}\\sum_{n=1}^N\\sum_{k=1}^K \\gamma_{nk}[t_n - {\\bf w}_k^T\\boldsymbol\\phi_n]\n",
    "$$\n",
    "\n",
    "With\n",
    "* $R_k = \\text{diag}(\\gamma_{1k}, \\ldots, \\gamma_{Nk})$\n",
    "* $\\boldsymbol\\Phi\\in\\mathbb{R}^{N\\times M}$\n",
    "* ${\\bf t}\\in\\mathbb{R}^{N}$\n",
    "* ${\\bf w}_k\\in\\mathbb{R}^{M}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(314)\n",
    "n_obs = 21\n",
    "xrange = np.linspace(-1, 1, n_obs) + rand(n_obs) * 0.1\n",
    "\n",
    "n_vals = n_obs // 3\n",
    "phi = np.c_[np.ones(n_obs), xrange]\n",
    "z = np.ones((n_obs, 2))\n",
    "z[n_vals: 2 *  n_vals, 0] = 0\n",
    "z[:, 1] = z[:, 1]- z[:, 0]\n",
    "# MxK\n",
    "w_true = np.array([\n",
    "    [-0.9, 0.7],\n",
    "    [0.2, 0.5]\n",
    "])\n",
    "\n",
    "beta_true = 1 / 0.1\n",
    "t_complete = np.einsum(\"nm,nk,mk->nk\", phi, z, w_true)\n",
    "t = t_complete.sum(axis=1) + randn(n_obs) / beta_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7ffe2d2c2790>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 386
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(xrange, t, facecolors=\"none\", edgecolors=\"tab:blue\", s=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "xplot = np.linspace(-1, 1, 200)\n",
    "phi_plot = np.c_[np.ones_like(xplot), xplot]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameter initializiation\n",
    "seed(314)\n",
    "w_em = randn(2, 2)\n",
    "beta_em = beta_true\n",
    "pi_em = rand(2)\n",
    "pi_em = pi_em / pi_em.sum()\n",
    "# auxiliary latent vector\n",
    "z_em = np.ones((n_obs, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_plot = np.einsum(\"nm,mk->nk\", phi_plot, w_em)\n",
    "plt.scatter(xrange, t, facecolors=\"none\", edgecolors=\"tab:green\", s=50)\n",
    "plt.plot(xplot, t_plot);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# mu_values\n",
    "mus_em = np.einsum(\"nm,mk->nk\", phi, w_em)\n",
    "N_vals = norm(loc=mus_em, scale=1/beta_em).pdf(t[:, None])\n",
    "gamma_nk = N_vals / N_vals.sum(axis=1, keepdims=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.33630629, 0.66369371])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Pi update\n",
    "pi_em = gamma_nk.mean(axis=0)\n",
    "pi_em"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.73915004,  0.53619389],\n",
       "       [ 0.40527649, -1.43197476]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# w update\n",
    "Rk = np.einsum(\"nl,nk->knl\", np.eye(n_obs), gamma_nk)\n",
    "w_em = inv(np.einsum(\"nm,knl,no->kmo\", phi, Rk, phi))\n",
    "w_em = np.einsum(\"kmo,no,knl,n->mk\", w_em, phi, Rk, t)\n",
    "w_em"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9701166052645216"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beta_inv = gamma_nk * (mus_em - t[:, None]) ** 2\n",
    "beta_em = n_obs / beta_inv.sum() \n",
    "beta_em"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_plot = np.einsum(\"nm,mk->nk\", phi_plot, w_em)\n",
    "plt.scatter(xrange, t, facecolors=\"none\", edgecolors=\"tab:green\", s=50)\n",
    "plt.plot(xplot, t_plot);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## All together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def e_step(phi, t, w, beta):\n",
    "    # mu_values\n",
    "    mus_em = np.einsum(\"nm,mk->nk\", phi, w)\n",
    "    N_vals = norm(loc=mus_em, scale=1/beta).pdf(t[:, None])\n",
    "    gamma_nk = N_vals / N_vals.sum(axis=1, keepdims=True)\n",
    "    return gamma_nk\n",
    "\n",
    "def m_step(phi, t, gamma_nk):\n",
    "    N, K = gamma_nk.shape\n",
    "    # pi-update\n",
    "    pi = gamma_nk.mean(axis=0)\n",
    "    # weights-update\n",
    "    Rk = np.einsum(\"nl,nk->knl\", np.eye(N), gamma_nk)\n",
    "    w = inv(np.einsum(\"nm,knl,no->kmo\", phi, Rk, phi))\n",
    "    w = np.einsum(\"kmo,no,knl,n->mk\", w, phi, Rk, t)\n",
    "    # precision-update\n",
    "    mus_em = np.einsum(\"nm,mk->nk\", phi, w)\n",
    "    beta_inv = gamma_nk * (mus_em - t[:, None]) ** 2\n",
    "    beta = N / beta_inv.sum() \n",
    "    \n",
    "    return pi, w, beta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameter initializiation\n",
    "seed(314)\n",
    "w_em = randn(2, 2)\n",
    "beta_em = 1\n",
    "pi_em = rand(2)\n",
    "pi_em = pi_em / pi_em.sum()\n",
    "# auxiliary latent vector\n",
    "z_em = np.ones((n_obs, 2))\n",
    "gamma_nk = e_step(phi, t, w_em, beta_em)\n",
    "\n",
    "hist_responsibilities = [gamma_nk]\n",
    "hist_weights = [w_em]\n",
    "for _ in range(7):\n",
    "    gamma_nk = e_step(phi, t, w_em, beta_em)\n",
    "    pi_em, w_em, beta_em = m_step(phi, t, gamma_nk)\n",
    "    hist_responsibilities.append(gamma_nk)\n",
    "    hist_weights.append(w_em)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_plot = np.einsum(\"nm,mk->nk\", phi_plot, w_em)\n",
    "plt.scatter(xrange, t, facecolors=\"none\", edgecolors=\"tab:green\", s=50)\n",
    "plt.plot(xplot, t_plot);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1080x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 423,
       "width": 1072
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3, figsize=(15, 6))\n",
    "ax = ax.T\n",
    "its = [0, 3, 6]\n",
    "\n",
    "for it, axi in zip(its, ax):\n",
    "    axi_1, axi_2 = axi\n",
    "    x_resp = np.arange(n_obs)\n",
    "    resp = hist_responsibilities[it]\n",
    "    w = hist_weights[it]\n",
    "    t_plot = np.einsum(\"nm,mk->nk\", phi_plot, w)\n",
    "    axi_1.scatter(xrange, t, facecolors=\"none\", edgecolors=\"tab:green\", s=50)\n",
    "    axi_1.plot(xplot, t_plot);\n",
    "    axi_1.set_title(f\"Iteration: {it}\")\n",
    "    axi_2.bar(x_resp, resp[:, 1], width=0.3)\n",
    "    axi_2.bar(x_resp, resp[:, 0], bottom=resp[:, 1], width=0.3)\n",
    "ax[0, 0].set_ylabel(\"Predictive\\nSpace\", fontsize=13)\n",
    "ax[0, 1].set_ylabel(\"Model\\nResponsibilities\", fontsize=13)\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
